Mathematics 0580 past papers & revision

0580

Nov 2025 · Paper 1 · Variant 1

Cambridge · with mark scheme

0580

Nov 2025 · Paper 1 · Variant 2

Cambridge · with mark scheme

0580

Nov 2025 · Paper 1 · Variant 3

Cambridge · with mark scheme

0580

Nov 2025 · Paper 2 · Variant 1

Cambridge · with mark scheme

0580

Nov 2025 · Paper 2 · Variant 2

Cambridge · with mark scheme

0580

Nov 2025 · Paper 2 · Variant 3

Cambridge · with mark scheme

0580

Nov 2025 · Paper 3 · Variant 1

Cambridge · with mark scheme

0580

Nov 2025 · Paper 3 · Variant 2

Cambridge · with mark scheme

0580

Nov 2025 · Paper 3 · Variant 3

Cambridge · with mark scheme

0580

Nov 2025 · Paper 4 · Variant 1

Cambridge · with mark scheme

0580

Nov 2025 · Paper 4 · Variant 2

Cambridge · with mark scheme

0580

Nov 2025 · Paper 4 · Variant 3

Cambridge · with mark scheme

Number Toolkit

Notes, flashcards & questions

Algebra Toolkit

Notes, flashcards & questions

Algebraic Notation

Notes, flashcards & questions

Algebraic vocabulary

Notes, flashcards & questions

Substitution

Notes, flashcards & questions

Collecting Like Terms

Notes, flashcards & questions

Algebraic Roots & Indices

Notes, flashcards & questions

Expanding & Simplifying Single Brackets

Notes, flashcards & questions

Expanding Double Brackets

Notes, flashcards & questions

Expanding Triple Brackets

Notes, flashcards & questions

Factorising Out Terms

Notes, flashcards & questions

Factorising by Grouping

Notes, flashcards & questions

Factorising Simple Quadratics

Notes, flashcards & questions

Factorising Harder Quadratics

Notes, flashcards & questions

Difference of Two Squares

Notes, flashcards & questions

Solving Linear Equations

Notes, flashcards & questions

Solving Linear Inequalities

Notes, flashcards & questions

Solving Quadratics by Factorising

Notes, flashcards & questions

The Quadratic Formula

Notes, flashcards & questions

Completing the Square

Notes, flashcards & questions

Deciding the Quadratic Method

Notes, flashcards & questions

Formulas where Subject Appears Once

Notes, flashcards & questions

Formulas where Subject Appears Twice

Notes, flashcards & questions

Linear Simultaneous Equations

Notes, flashcards & questions

Quadratic Simultaneous Equations

Notes, flashcards & questions

Simplifying Algebraic Fractions

Notes, flashcards & questions

Adding & Subtracting Algebraic Fractions

Notes, flashcards & questions

Multiplying & Dividing Algebraic Fractions

Notes, flashcards & questions

Solving Equations with Algebraic Fractions

Notes, flashcards & questions

Forming Equations from Words

Notes, flashcards & questions

Forming Equations from Shapes

Notes, flashcards & questions

Problem Solving with Equations

Notes, flashcards & questions

Introduction to Functions

Notes, flashcards & questions

Domain & Range

Notes, flashcards & questions

Composite Functions

Notes, flashcards & questions

Inverse Functions

Notes, flashcards & questions

Introduction to Sequences

Notes, flashcards & questions

nth Terms of Linear Sequences

Notes, flashcards & questions

Quadratic Sequences

Notes, flashcards & questions

Other Sequences

Notes, flashcards & questions

Direct Proportion

Notes, flashcards & questions

Inverse Proportion

Notes, flashcards & questions

Coordinate Geometry

Notes, flashcards & questions

Coordinates

Notes, flashcards & questions

Midpoint of a Line

Notes, flashcards & questions

Gradient of a Line

Notes, flashcards & questions

Length of a Line

Notes, flashcards & questions

Equations of Straight Lines (y = mx + c)

Notes, flashcards & questions

Drawing Straight Line Graphs

Notes, flashcards & questions

Parallel Lines

Notes, flashcards & questions

Perpendicular Lines

Notes, flashcards & questions

Types of Graphs

Notes, flashcards & questions

Drawing Graphs from Tables

Notes, flashcards & questions

Solving Equations from Graphs

Notes, flashcards & questions

Finding Gradients of Tangents

Notes, flashcards & questions

Representing Inequalities as Regions

Notes, flashcards & questions

Finding Inequalities from Regions

Notes, flashcards & questions

Conversion Graphs

Notes, flashcards & questions

Distance-Time Graphs

Notes, flashcards & questions

Speed-Time Graphs

Notes, flashcards & questions

Rates-of-Change Graphs

Notes, flashcards & questions

Differentiation

Notes, flashcards & questions

Finding Stationary Points & Turning Points

Notes, flashcards & questions

Classifying Stationary Points

Notes, flashcards & questions

Geometry Toolkit

Notes, flashcards & questions

Angles in Polygons & Parallel Lines

Notes, flashcards & questions

Bearings, Constructions & Scale Drawings

Notes, flashcards & questions

Circle Theorems

Notes, flashcards & questions

Rotational Symmetry

Notes, flashcards & questions

Lines of Symmetry

Notes, flashcards & questions

2D Shapes

Notes, flashcards & questions

3D Shapes

Notes, flashcards & questions

Planes of Symmetry

Notes, flashcards & questions

Converting between Units

Notes, flashcards & questions

Squared & Cubic Units

Notes, flashcards & questions

Area & Perimeter

Notes, flashcards & questions

Circles, Arcs & Sectors

Notes, flashcards & questions

Volume & Surface Area

Notes, flashcards & questions

Congruence & Similarity

Notes, flashcards & questions

Perimeter

Notes, flashcards & questions

Area

Notes, flashcards & questions

Adding & Subtracting Areas

Notes, flashcards & questions

Problem Solving with Areas

Notes, flashcards & questions

Area & Circumference of Circles

Notes, flashcards & questions

Arc Lengths & Sector Areas

Notes, flashcards & questions

Volume

Notes, flashcards & questions

Problem Solving with Volumes

Notes, flashcards & questions

Surface Area

Notes, flashcards & questions

Congruence

Notes, flashcards & questions

Similarity

Notes, flashcards & questions

Similar Lengths

Notes, flashcards & questions

Similar Areas & Volumes

Notes, flashcards & questions

Right-Angled Triangles (Pythagoras & Trigonometry)

Notes, flashcards & questions

Sine, Cosine Rule & Area of Triangles

Notes, flashcards & questions

3D Pythagoras & Trigonometry

Notes, flashcards & questions

Trigonometric Graphs & Equations

Notes, flashcards & questions

Pythagoras Theorem

Notes, flashcards & questions

SOHCAHTOA

Notes, flashcards & questions

Angles of Elevation & Depression

Notes, flashcards & questions

Exact Trig Values

Notes, flashcards & questions

The Sine Rule

Notes, flashcards & questions

The Cosine Rule

Notes, flashcards & questions

Area of a Triangle

Notes, flashcards & questions

Deciding the Trig Rule

Notes, flashcards & questions

Trigonometric Graphs

Notes, flashcards & questions

Solving Trig Equations

Notes, flashcards & questions

Vectors

Notes, flashcards & questions

Transformations

Notes, flashcards & questions

Introduction to Column Vectors

Notes, flashcards & questions

Representing Vectors as Diagrams

Notes, flashcards & questions

Magnitude of a Vector

Notes, flashcards & questions

Position & Displacement Vectors

Notes, flashcards & questions

Finding Vector Paths

Notes, flashcards & questions

Problem Solving with Vectors

Notes, flashcards & questions

Translations

Notes, flashcards & questions

Reflections

Notes, flashcards & questions

Rotations

Notes, flashcards & questions

Enlargements

Notes, flashcards & questions

Basic Probability

Notes, flashcards & questions

Probability Diagrams (Tree & Venn Diagrams)

Notes, flashcards & questions

Conditional Probability

Notes, flashcards & questions

Basic Probability

Notes, flashcards & questions

Possibility (Sample Space) Diagrams

Notes, flashcards & questions

Relative & Expected Frequency

Notes, flashcards & questions

Two-Way Tables

Notes, flashcards & questions

Probabilities from Venn Diagrams

Notes, flashcards & questions

Probability Tree Diagrams

Notes, flashcards & questions

Combined Probabilities

Notes, flashcards & questions

Conditional Probability

Notes, flashcards & questions

Combined Conditional Probabilities

Notes, flashcards & questions

Averages & Range

Notes, flashcards & questions

Statistical Diagrams

Notes, flashcards & questions

Histograms

Notes, flashcards & questions

Cumulative Frequency

Notes, flashcards & questions

Scatter Graphs & Correlation

Notes, flashcards & questions

Discrete & Continuous Data

Notes, flashcards & questions

Mean, Median & Mode

Notes, flashcards & questions

Calculations with the Mean

Notes, flashcards & questions

Averages from Tables

Notes, flashcards & questions

Averages from Grouped Data

Notes, flashcards & questions

Range & Interquartile Range

Notes, flashcards & questions

Comparing Data Sets

Notes, flashcards & questions

Stem & Leaf Diagrams

Notes, flashcards & questions

Bar Charts & Pictograms

Notes, flashcards & questions

Pie Charts

Notes, flashcards & questions

Reading & Interpreting Statistical Diagrams

Notes, flashcards & questions

Comparing Statistical Diagrams

Notes, flashcards & questions

Frequency Density

Notes, flashcards & questions

Frequency Density

Notes, flashcards & questions

Cumulative Frequency

Notes, flashcards & questions

Interpreting Cumulative Frequency Diagrams

Notes, flashcards & questions

Scatter Graphs & Correlation

Notes, flashcards & questions

Lines of Best Fit

Notes, flashcards & questions

Linear Graphs

Notes, flashcards & questions

Algebraic Roots & Indices

Notes, flashcards & questions

Types of Numbers

Notes, flashcards & questions

Set Notation & Venn Diagrams

Notes, flashcards & questions

Prime Factor Decomposition

Notes, flashcards & questions

Powers & Roots

Notes, flashcards & questions

Basic Fractions

Notes, flashcards & questions

Basic Percentages

Notes, flashcards & questions

Simple Interest

Notes, flashcards & questions

Simplifying Surds

Notes, flashcards & questions

Converting Fractions, Decimals & Percentages

Notes, flashcards & questions

Ratios

Notes, flashcards & questions

Compound Measures

Notes, flashcards & questions

Time

Notes, flashcards & questions

Rounding & Estimation

Notes, flashcards & questions

Using a Calculator

Notes, flashcards & questions

Expanding & Factorising Brackets

Notes, flashcards & questions

Quadratic Graphs

Notes, flashcards & questions

Irrational Numbers

Notes, flashcards & questions

Set Notation & Venn Diagrams

Notes, flashcards & questions

Uses of Prime Factor Decomposition

Notes, flashcards & questions

Laws of Indices

Notes, flashcards & questions

Mixed Numbers & Improper Fractions

Notes, flashcards & questions

Percentage Increases & Decreases

Notes, flashcards & questions

Compound Interest

Notes, flashcards & questions

Rationalising Denominators

Notes, flashcards & questions

Recurring Decimals

Notes, flashcards & questions

Problem Solving with Ratios

Notes, flashcards & questions

Speed, Density & Pressure

Notes, flashcards & questions

Money Calculations

Notes, flashcards & questions

Upper & Lower Bounds

Notes, flashcards & questions

Linear Equations & Inequalities

Notes, flashcards & questions

Further Graphs & Tangents

Notes, flashcards & questions

Negative Numbers

Notes, flashcards & questions

Prime Factors, HCF & LCM

Notes, flashcards & questions

HCF & LCM

Notes, flashcards & questions

Converting to & from Standard Form

Notes, flashcards & questions

Adding & Subtracting Fractions

Notes, flashcards & questions

Reverse Percentages

Notes, flashcards & questions

Depreciation

Notes, flashcards & questions

Ordering Fractions, Decimals & Percentages

Notes, flashcards & questions

Working with Proportion

Notes, flashcards & questions

Exchange Rates

Notes, flashcards & questions

Quadratic Equations

Notes, flashcards & questions

Solving & Graphing Inequalities

Notes, flashcards & questions

Mathematical Symbols

Notes, flashcards & questions

Powers, Roots & Standard Form

Notes, flashcards & questions

Operations with Standard Form

Notes, flashcards & questions

Multiplying & Dividing Fractions

Notes, flashcards & questions

Exponential Growth & Decay

Notes, flashcards & questions

Rearranging Formulas

Notes, flashcards & questions

Real-Life Graphs

Notes, flashcards & questions

Order of Operations (BIDMAS/BODMAS)

Notes, flashcards & questions

Fractions Toolkit

Notes, flashcards & questions

Simultaneous Equations

Notes, flashcards & questions

Differentiation

Notes, flashcards & questions

Addition & Subtraction

Notes, flashcards & questions

Percentages Toolkit

Notes, flashcards & questions

Algebraic Fractions

Notes, flashcards & questions

Multiplication & Division

Notes, flashcards & questions

Simple & Compound Interest, Growth & Decay

Notes, flashcards & questions

Forming & Solving Equations

Notes, flashcards & questions

Operations with Decimals

Notes, flashcards & questions

Surds

Notes, flashcards & questions

Functions

Notes, flashcards & questions

Working with FDP

Notes, flashcards & questions

Sequences

Notes, flashcards & questions

Working with Ratios

Notes, flashcards & questions

Proportion

Notes, flashcards & questions

Compound Measures (Speed, Density, Pressure)

Notes, flashcards & questions

Time, Currency & Conversions

Notes, flashcards & questions

Rounding, Estimation & Bounds

Notes, flashcards & questions

Using a Calculator

Notes, flashcards & questions